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Results 1 - 10
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211
Quantum Knizhnik–Zamolodchikov equation,
, 2005
"... generalized Razumov–Stroganov sum rules and extended Joseph polynomials P. Di Francesco # and P. Zinn-Justin ⋆ We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semi-infinite cylinder: we show that a weighted sum of components of the gro ..."
Abstract
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of the groundstate of the Ak−1 IRF model yields integers that generalize the numbers of alternating sign matrices. This is done by constructing minimal polynomial solutions of the level 1 Uq ( sl(k)) quantum Knizhnik–Zamolodchikov equations, which may also be interpreted as quantum incompressible q
Quantum Knizhnik–Zamolodchikov equation,
, 2005
"... generalized Razumov–Stroganov sum rules and extended Joseph polynomials P. Di Francesco # and P. Zinn-Justin ⋆ We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semi-infinite cylinder: we show that a weighted sum of components of the gro ..."
Abstract
- Add to MetaCart
of the groundstate of the Ak−1 IRF model yields integers that generalize the numbers of alternating sign matrices. This is done by constructing minimal polynomial solutions of the level 1 Uq ( sl(k)) quantum Knizhnik–Zamolodchikov equations, which may also be interpreted as quantum incompressible q
Quantum Knizhnik–Zamolodchikov equation,
, 2006
"... generalized Razumov–Stroganov sum rules and extended Joseph polynomials P. Di Francesco # and P. Zinn-Justin ⋆ We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semi-infinite cylinder: we show that a weighted sum of components of the gro ..."
Abstract
- Add to MetaCart
of the groundstate of the Ak−1 IRF model yields integers that generalize the numbers of alternating sign matrices. This is done by constructing minimal polynomial solutions of the level 1 Uq ( sl(k)) quantum Knizhnik–Zamolodchikov equations, which may also be interpreted as quantum incompressible q
1 Gauged Knizhnik-Zamolodchikov Equation
, 1996
"... Correlation functions of gauged WZNW models are shown to satisfy a differential equation, which is a gauge generalization of the Knizhnik-Zamolodchikov equation. 1. ..."
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Correlation functions of gauged WZNW models are shown to satisfy a differential equation, which is a gauge generalization of the Knizhnik-Zamolodchikov equation. 1.
Generalization of the Knizhnik-Zamolodchikov-Equations
, 1996
"... In this letter we introduce a generalization of the Knizhnik-Zamolodchikov equations from affine Lie algebras to a wide class of conformal field theories (not necessarily rational). The new equations describe correlations functions of primary fields and of a finite number of their descendents. Our p ..."
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In this letter we introduce a generalization of the Knizhnik-Zamolodchikov equations from affine Lie algebras to a wide class of conformal field theories (not necessarily rational). The new equations describe correlations functions of primary fields and of a finite number of their descendents. Our
QUANTUM ISOMONODROMIC DEFORMATIONS AND THE KNIZHNIK–ZAMOLODCHIKOV EQUATIONS
, 1994
"... Viewing the Knizhnik–Zamolodchikov equations as multi–time, nonautonomous Shrödinger equations, the transformation to the Heisenberg representation is shown to yield the quantum Schlesinger equations. These are the quantum form of the isomonodromic deformations equations for first order operators ..."
Abstract
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Cited by 22 (0 self)
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Viewing the Knizhnik–Zamolodchikov equations as multi–time, nonautonomous Shrödinger equations, the transformation to the Heisenberg representation is shown to yield the quantum Schlesinger equations. These are the quantum form of the isomonodromic deformations equations for first order operators
Quantum Knizhnik–Zamolodchikov equation: reflecting boundary . . .
- J. PHYS. A
, 2007
"... We consider the level 1 solution of quantum Knizhnik–Zamolodchikov equation with reflecting boundary conditions which is relevant to the Temperley–Lieb model of loops on a strip. By use of integral formulae we prove conjectures relating it to the weighted enumeration of Cyclically Symmetric Transpos ..."
Abstract
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Cited by 50 (15 self)
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We consider the level 1 solution of quantum Knizhnik–Zamolodchikov equation with reflecting boundary conditions which is relevant to the Temperley–Lieb model of loops on a strip. By use of integral formulae we prove conjectures relating it to the weighted enumeration of Cyclically Symmetric
ON SPECTRAL FLOW SYMMETRY AND KNIZHNIK-ZAMOLODCHIKOV EQUATION
, 2005
"... Abstract. It is well known that five-point function in Liouville field theory provides a representation of solutions of the SL(2, R)k Knizhnik-Zamolodchikov equation at the level of fourpoint function. Here, we make use of such representation to study some aspects of the spectral flow symmetry of sl ..."
Abstract
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Cited by 3 (1 self)
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Abstract. It is well known that five-point function in Liouville field theory provides a representation of solutions of the SL(2, R)k Knizhnik-Zamolodchikov equation at the level of fourpoint function. Here, we make use of such representation to study some aspects of the spectral flow symmetry
Results 1 - 10
of
211
